Nuclear weighted composition operators on weighted Banach spaces of analytic functions

Bonet, José; Gómez-Collado, M.; Jordá, Enrique; Jornet, David

doi:10.1090/proc/15223

Nuclear weighted composition operators on weighted Banach spaces of analytic functions
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by José Bonet, M. Carmen Gómez-Collado, Enrique Jordá and David Jornet

Proc. Amer. Math. Soc. 149 (2021), 311-321

DOI: https://doi.org/10.1090/proc/15223

Published electronically: September 18, 2020

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Abstract:

We characterize nuclear weighted composition operators $W_{\psi ,\varphi }f=\psi (f\circ \varphi )$ on weighted Banach spaces of analytic functions with sup-norms. Consequences about nuclear composition operators on Bloch type spaces are presented. They extend previous work by Fares and Lefèvre on nuclear composition operators on Bloch spaces. Examples of nuclear as well as compact and non-nuclear weighted composition operators are given.

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